Below are given two sets of numbers. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 10 - 100 - 50 - 25; 2 - 4 - 2 - 1
4 - 16 - 8 - 4
To solve this problem, we need to identify the pattern in the given sequences and then apply the same pattern to the options to find the correct one that matches.
Let's examine each set of numbers and the operations performed on them:
- Sequence 1: 10 - 100 - 50 - 25
- The operation from 10 to 100 is multiplication by 10: \(10 \times 10 = 100\)
- The operation from 100 to 50 is division by 2: \(100 \div 2 = 50\)
- The operation from 50 to 25 is again division by 2: \(50 \div 2 = 25\)
- Sequence 2: 2 - 4 - 2 - 1
- The operation from 2 to 4 is multiplication by 2: \(2 \times 2 = 4\)
- The operation from 4 to 2 is division by 2: \(4 \div 2 = 2\)
- The operation from 2 to 1 is again division by 2: \(2 \div 2 = 1\)
From these observations, the pattern consists of the following operations:
- Multiply the first number by 2 (or 10 in the first sequence for an increment operation)
- Divide by 2
- Divide by 2 again
Now, we will apply these operations to the options provided and find which option matches the pattern:
- Option 1: 12 - 144 - 62 - 31
- 12 to 144: \(12 \times 12 = 144\) (doesn't match the pattern as it exceeds the multiplication factor)
- 144 to 62: No clear pattern (involving unexpected results)
- Option 2: 5 - 25 - 15 - 7
- 5 to 25: \(5 \times 5 = 25\) (does not match the required multiplication factor)
- Option 3: 4 - 16 - 8 - 4
- 4 to 16: \(4 \times 4 = 16\) (matches the multiplication by factor = 4)
- 16 to 8: \(16 \div 2 = 8\) (matches division by factor = 2)
- 8 to 4: \(8 \div 2 = 4\) (matches division by factor = 2)
- Option 4: 8 - 64 - 32 - 14
- 8 to 64: \(8 \times 8 = 64\) (doesn't match as per given pattern)
Therefore, the option 4 - 16 - 8 - 4 matches the defined operations for the given number sequences. Thus, the correct answer is:
Option 3: 4 - 16 - 8 - 4
Similar Questions
16 is related to 260 following a certain logic. Following the same logic, 25 is related to 630. To which of the following is 9 related, following the same logic?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
12 is related to 1730 following a certain logic. Following the same logic, 13 is related to
2199. To which of the given options is 11 related, following the same logic?
(NOTE: Operations should be performed on the whole numbers, without breaking down
the numbers into their constituent digits. E.g. 13 – Operations on 13 such as
adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1
and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Two sets of numbers are given below. In each set of numbers, certain mathematical
operation(s) on the first number result(s) in the second number. Similarly, certain
mathematical operation(s) on the second number result(s) in the third number and so
on. Which of the given options follows the same set of operations as in the given sets?
(NOTE: Operations should be performed on the whole numbers, without breaking down
the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding
to/subtracting from/multiplying with 13 can be performed. Breaking down 13 into 1 and
3 and then performing mathematical operations on 1 and 3 is not allowed.)
6 – 16 – 23 – 32; 7 – 19 – 26 – 35
Important Questions from Number Based
Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different. (Any operation on digits is not allowed)
Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.
Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.
Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.
Four number-pairs have been given, out of which three are alike in some manner and one is different. Select the number-pair that is different.
